Answers
Answer:
D
Step-by-step explanation:
Δ CED and Δ CAB are similar thus the ratios of corresponding sides are equal, that is
[tex]\frac{CE}{CA}[/tex] = [tex]\frac{ED}{AB}[/tex] , substitute values
[tex]\frac{x}{156-x}[/tex] = [tex]\frac{7}{84}[/tex] = [tex]\frac{1}{12}[/tex] ( cross- multiply )
12x = 156 - x ( add x to both sides )
13x = 156 ( divide both sides by 13 )
x = 12
Thus
AC = 156 - x = 156 - 12 = 144 → D
Answer:
D. 144
Step-by-step explanation:
Triangle BAC is similar to triangle DEC, so you can set up a ratio:
[tex]\frac{84}{156-x} = \frac{7}{x}[/tex]
Then cross multiply
84x = 7 (156 - x)
84x = 1092 - 7x
Add 7x to both sides.
91x = 1092
Divide both sides by 91.
x = 12
AC = 156 - x
AC = 156 - 12
AC = 144
Related Questions
how do you Factor in algebra 2?
for example:
r^2-r-20
and
x^2+8x+12
Answers
(r-5)(r+4)
(x+6)(x+2)
Step-by-step explanation:
1 r^2 - 1 r - 20
multiply the first and third terms
-20 times 1 equals -20. take the -1
*what are two numbers that multiply together that equals -20 but add to equal -1?
-5 times 4 equals -20
-5 plus 4 equals -1
(r-5)(r+4)
1 x^2 + 8 x + 12
multiply the first and third terms
12 times 1 equals 12. take the 8
*what are two numbers that multiply together that equals 12 but add to equal 8?
6 times 2 equals 12
6 plus 2 equals 8
=(x+6)(x+2)
Write the following number in Scientific Notation.
Explain what you did to get your answer
560,000,000,000,000,000
Answers
Answer:
5.6 * 10^17.
Step-by-step explanation:
There are 17 digits after the 5 .
So it's 5.6 * 10^17.
Note that the first number must lie between 1 and 10.
I don't really understand which number we have to write in scientifc notation but I am assuming it is the number 560,000,000,000,000,000.
Ok so, 560,000,000,000,000,000 in scientific notation is 5.6 x 10^17.
This is because if you count the number of spaces behind the decimal point of 5.6 it is equal to 17. So, you would write the answer 5.6 x 10^17.
The slope of the line whose equation is 3 x - 2 y = 4 is:
A. 2/3
B. -2
C. 3/2
Answers
Answer:
c 3/2
Step-by-step explanation:
What is the value of x in the figure below? In this diagram, ΔABD ~ ΔCAD.
Answers
Answer:
D
Step-by-step explanation:
The triangles CDA and ADB are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{CD}{AD}[/tex] = [tex]\frac{DA}{DB}[/tex] , substitute values
[tex]\frac{13}{x}[/tex] = [tex]\frac{x}{3}[/tex] ( cross- multiply )
x² = 39 ( take square root of both sides )
x = [tex]\sqrt{39}[/tex] → D
Answer:
D is the answer
Step-by-step explanation:
Write a single transformation that maps ABC onto A' B' C'
Answers
9514 1404 393
Answer:
Either of ...
(x, y) ⇒ (-x, -y)Rotation 180° about the originStep-by-step explanation:
There are at least two ways to express the transformation that maps each coordinate to its opposite.
1. reflection across the origin: (x, y) ⇒ (-x,-y)
2. rotation 180° (either direction) about the origin.
Take your pick.
write the equation x+y=6y into standard form
Answers
Answer:
x - 5y = 0
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
x + y = 6y ( subtract 6y from both sides )
x - 5y = 0 ← in standard form
Answer: x-5y=0
Step-by-step explanation:
x+y=6y
6y-y
X=5y
X-5y=0
At the movie theatre, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. On Monday 3,000 customers came to the theatre. How many people received both free items?
Answers
he quadrilateral PQRS in the diagram is a parallelogram. Let P'Q'R'S' be the image of PQRS after applying a dilation centered at a point O (not shown) with scale factor 3.
Answers
Answer:
P”Q=3PQ
Step-by-step explanation:
35 is what percent of 35
Answers
Answer:
100% 35/35 is 1 so 100%
Step-by-step explanation:
100% sure this is right gimme brainliest
how do you evaluate cube roots and square roots( in simple words pls)
Answers
Answer:
To evaluate square roots, find the prime factorization. If all the exponents are even, then it is a square root! Just divide the exponents by 2, and multiply them together. To evaluate cube roots, find the prime factorization. If all the exponents are multiples of three, it is a cube root! Just divide the exponents by 3 and multiply them together.
Step-by-step explanation:
simplify the fraction 15/45
Answers
Answer:
1/3 or .3333333.....
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
you can divide both the numerator and the denominator by 5
15/5=3
45/5=9
then divide by 3 to both sides
hope this helps :3
if it did pls mark brainliest
Which of the following equations represent linear functions?
y=4(2x)−3
x2+y=1
y=2x√
y=−2
Answers
Answer:
y = 4(2x) − 3 y = −2Step-by-step explanation:
Given functions:
y = 4(2x) − 3 x² + y = 1 y = 2√ xy = −2Linear functions have the form of
ax + by + c = 0 or y = mx + bTherefore functions 1. and 4. are linear functions, the other two aren't
what is the solution to this equation?
A. x=-4
B. x= 100
C. x= 4
D. x=-100
Answers
Answer:
D. x = - 100Step-by-step explanation:
[tex]\bold{\dfrac x5=-20}\\{}\ \ ^{\cdot5\qquad\cdot5}\\\bold{\dfrac x5\cdot\dfrac51=-20\cdot5}\\\\\bold{x=-100}[/tex]
Kaelyn has 14 coins I have a value of $1.20. She only has dimes and nickels. How many nickels does Kaelyn have?
Answers
Answer:
10 dimes would be $1.00 and 4 nickels is $.20. That equals $1.20 and 14 coins.
Kaelyn has 4 nickels
Of the 1200 responded to a survey, 456 claimed to be worried about money. What is the likelihood that a person selected at random will not be worried about money?
Answers
Transversal / cuts lines a, b, c, and d.
Which two lines are parallel?
Answers
Answer:
A
Step-by-step explanation:
A computer downloads a movie at a constant rate. What does the slope represent?
Answers
Answer:
hope it helps you
Step-by-step explanation:
A computer downloads a movie at a constant rate. What does the slope represent? 2000
Download (megabytes)
000-
400
Time (min)
CLEAR
CHECK
Number of minutes for download completion
Downloading speed in megabytes per minute
Unit rate of minutes per megabyte
Unit rate of megabytes per movie
Answer:
Downloading speed in megabytes per minute
Step-by-step explanation:
did on ttm
What do these (>, ≥, <, ≤) mean
Answers
Answer:
Less Than,Less Than or Equal to,Greater Than,Greater Than or Equal to
Step-by-step explanation:
The line under plays the role of an equal sign and the others are pretty self explanatory
Answer: The first one is a greater sign, the second one is greater than or equal to, the third one is less than, and the last one is less than or equal to.
Step-by-step explanation: hope this helps
this is the only thing i do not understand about geometry
Answers
Answer:
see explanation
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan40° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{opp}{20}[/tex] ( multiply both sides by 20 )
20 × tan40° = opp , thus
opp = 20 × 0.839 ≈ 16.78 , then
height of traffic light = 16,78 + 5 = 21.78 ft
------------------------------------------------------------------------
Using the tangent ratio in the right triangle
tan42.71° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{150}{d}[/tex] ( d is the distance between store and bank )
Multiply both sides by d
d × tan42.71° = 150 ( divide both sides by tan42.71° )
d = [tex]\frac{150}{tan42.71}[/tex] = [tex]\frac{150}{0.923}[/tex] = 162.5 m
Enter the values of h and k so that y = x2 + 6x + 10 is in vertex form.
y = (x +
)2 +
Answers
Answer:
y = (x + 3)^2 + 1
Step-by-step explanation:
100% on edge
Have a nice day :]
The equation in vertex form is [tex]y = (x + 3)^2 + 1[/tex], and the values of h & k are -3 and 1
What is the vertex form?The vertex form of an equation is a quadratic equation, written in the form of a parabola
The equation is given as:
[tex]y = x^2 + 6x + 10[/tex]
Write out the constant
[tex]y = (x^2 + 6x) + 10[/tex]
Take the coefficient of x
[tex]k = 6[/tex]
Divide by 2
[tex]k/2 = 3[/tex]
Square the expression
[tex](k/2)^2 = 9[/tex]
So, we have:
[tex]y = (x^2 + 6x + 9 - 9) + 10[/tex]
Rewrite as:
[tex]y = (x^2 + 6x + 9) -9+ 10[/tex]
[tex]y = (x^2 + 6x + 9) + 1[/tex]
Express as a perfect square
[tex]y = (x + 3)^2 + 1[/tex]
Hence, the equation in vertex form is [tex]y = (x + 3)^2 + 1[/tex], and the values of h & k are -3 and 1
Read more about vertex forms at:
https://brainly.com/question/26738087
PLEASE HELP I WILL GIVE YOU 40 POINTS!!!! make sure you 100 percent corect!
Answers
Answer:
number 1 answer
a saying you have to add all the w's
b saying that you have to add 2w with 2w
c saying it is the simpliyed answer
number 2 answer
a. 2w + 20 + 2w
b. 4w + 20
number 3 we are unable to answer
Step-by-step explanation:
5(2x-3-4z) Use the distributive property to rewrite the expression above
Answers
Answer:
= 10x-15-20z
Step-by-step explanation:
5 x 2=10 add the x to the end
5 x 3=15
5 x 4= 20 add the z to the end
Hope this helps (:
Step by Step Explanation:
5(2x-3-4z) or 5•(2x-3-4z) which means the whole equation inside of the parentheses times 5; answer=10x-15-20z.
What is 5 + 100 + 300,909,786
Answers
Answer:
300909891
Step-by-step explanation:
Answer:
300,909,891
Step-by-step explanation:
Choose the best units (liters - l) or (milliliters - ml) to measure each of the following liquids.
The amount of liquid that would fill a test tube
The amount of mouthwash that would fill a travel-sized container
The amount of coffee that would fill a thermos
Answers
ml
L.
Your welcome.
Someone please help me
Answers
x=3.5 y=2
2+2+2-2x4x9x2+2+2+4+4x9+1938x3871
Answers
Answer:
7,501,904
I hope this helps!
Answer:
75020220.86 is the answer
Please help!!! Will mark brainliest if you show your work and the answer!
Answers
Answer: Mario
Step-by-step explanation: 8 squared is 64 and 12 squared is 144, 18 squared is 324. According to the Pythagorean theorem, A squared + B squared = C squared but in this case, A squared and B squared doesn't add up to C squared so it is wrong
A ribbon 9 feet long is cut into two pieces. One piece is 1 foot longer than the other.
What are the lengths of the two pieces?
Answers
If you were asked to find the total number of tiles covering a circular floor, would you look to find the area or circumference?
Answers
Answer:
The area.
Step-by-step explanation:
The circumference would only cover an outline of the floor. Hope this helps!
What are the missing parts that correctly complete the proof?
Given: point P is on the bisector of ABC.
Prove: point P is equidistant from the sides of ABC.
1. BP is the bisector of ABC- given
2. ABP≈CBP- ?
3. BXP and BYP are right angles- given
4. ?- all right angles are congruent
5. BP≈BP- ?
6. BXP≈BYP- ?
7. ?- corresponding parts of congruent triangles are congruent
8. Point P is equidistant from the sides of ABC- definition of equidistant
Answers
Answer:
Hello, I just took the test today. I will attach a screenshot. I hope I am not too late answering your question.
This question stumped me too at first. I hope this helps!
The missing parts that correctly complete the proof are;
2) Definition of a bisector
4) ∠BXP ≅ ∠BYP.
5) Reflexive property of congruence.
6) AAS congruence theorem.
7) Corresponding sides of congruent triangles are congruent.
We are given;
Point P is on the bisector of ∠ABC.
2) ∠ABP ≅ ∠CBP; The symbol ≅ means congruent. This means they are equal and it is true because it corresponds with the definition of a bisector means dividing into 2 equal parts.4) All right angles are congruent; Congruent means equal and the two right angles we have in the image are; ∠BXP and ∠BYP. Thus, we can write; ∠BXP ≅ ∠BYP.5) BP ≅ BP; This means that Line BP is congruent and equal to itself and this fulfils the theorem called reflexive property of congruence.6) ΔBXP ≅ ΔBYP; This means ΔBXP is congruent to ΔBYP. Since we have established that ∠BXP ≅ ∠BYP; ∠ABP ≅ ∠CBP; BP ≅ BP. It means we have 2 corresponding angles and one corresponding side equal to each other from the 2 congruent triangles and so we can say this fulfils the AAS congruence theorem.7) PX ≅ PY; This means PX is congruent to PY. From congruence theorem, corresponding sides of congruent triangles are congruent.
Read more at; https://brainly.com/question/11357763